Answer:
x = 3.6
Step-by-step explanation:
3/5 = x/6
multiply both sides by 6
18/5 = x
as a decimal
x = 3.6
Answer:
h(g(0)) = 1 - 3y^2 .
Step-by-step explanation:
Answer:
√
8
≈
3
Explanation:
Note that:
2
2
=
4
<
8
<
9
=
3
2
Hence the (positive) square root of
8
is somewhere between
2
and
3
. Since
8
is much closer to
9
=
3
2
than
4
=
2
2
, we can deduce that the closest integer to the square root is
3
.
We can use this proximity of the square root of
8
to
3
to derive an efficient method for finding approximations.
Consider a quadratic with zeros
3
+
√
8
and
3
−
√
8
:
(
x
−
3
−
√
8
)
(
x
−
3
+
√
8
)
=
(
x
−
3
)
2
−
8
=
x
2
−
6
x
+
1
From this quadratic, we can define a sequence of integers recursively as follows:
⎧
⎪
⎨
⎪
⎩
a
0
=
0
a
1
=
1
a
n
+
2
=
6
a
n
+
1
−
a
n
The first few terms are:
0
,
1
,
6
,
35
,
204
,
1189
,
6930
,
...
The ratio between successive terms will tend very quickly towards
3
+
√
8
.
So:
√
8
≈
6930
1189
−
3
=
3363
1189
≈
2.828427
question number 1 is 0.6 and 1.4 number 2 is 0.2 and 2.5 number 3 is 20.0
and 26.1 number 4 is 6.54 and cannot see number 5 is 29.15 and cannot see number 6 is 32.10 and cannot see number 7 is 20.051 and cannot see number 8 is 36.582 and cannot see number 9 is 16.570 and cannot see thank you
713/9
79 2/9 Decimal form: 79.222
713 divided by 9 is 79 with a quotient estimate of 2.
79 r 2
